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math.AG2018
Perfection in motivic homotopy theory
Elden Elmanto, Adeel A. Khan
We prove a topological invariance statement for the Morel-Voevodsky motivic homotopy category, up to inverting exponential characteristics of residue fields. This implies in partic…
math.AG2018
Relative Étale Realizations of Motivic Spaces and Dwyer-Friedlander -Theory of Noncommutative Schemes
David Carchedi, Elden Elmanto
In this paper, we construct a refined, relative version of the étale realization functor of motivic spaces, first studied by Isaksen and Schmidt. Their functor goes from the $\inft…
math.AG2018
Framed transfers and motivic fundamental classes
Elden Elmanto, Marc Hoyois, Adeel A. Khan +2
We relate the recognition principle for infinite -loop spaces to the theory of motivic fundamental classes of Déglise, Jin, and Khan. We first compare two kinds of tra…